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Finding the Fourth Proportional to 6,273.42, 9,409.52 and 3,807.58

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Solution

The fourth proportional to 6,273.42, 9,409.52 and 3,807.58 is: 5,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.42 : 9,409.52 = 3,807.58 : x
  2. Step 2: Convert to fraction form
    6,273.42/9,409.52 = 3,807.58/x
  3. Step 3: Cross multiply
    6,273.42x = 9,409.52 × 3,807.58
  4. Step 4: Simplify right side
    6,273.42x = 35,827,500.16
  5. Step 5: Solve for x
    x = 35,827,500.16/6,273.42
  6. Step 6: Final answer
    x = 5,711.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.